1305716328 has 384 divisors, whose sum is σ = 4574592000. Its totient is φ = 342921600.

The previous prime is 1305716303. The next prime is 1305716413. The reversal of 1305716328 is 8236175031.

1305716328 is a `hidden beast` number, since 1 + 3 + 0 + 571 + 63 + 28 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1305716292 and 1305716301.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8647053 + ... + 8647203.

It is an arithmetic number, because the mean of its divisors is an integer number (11913000).

Almost surely, 2^1305716328 is an apocalyptic number.

1305716328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1305716328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2287296000).

1305716328 is an abundant number, since it is smaller than the sum of its proper divisors (3268875672).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1305716328 is a wasteful number, since it uses less digits than its factorization.

1305716328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 1305716328 is about 36134.6970099377. The cubic root of 1305716328 is about 1092.9902260515.

The spelling of 1305716328 in words is "one billion, three hundred five million, seven hundred sixteen thousand, three hundred twenty-eight".